A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r and with resistance R. The magnitude of the field varies with time according to B = Boer, where Bo and rare constants. (a) Find an expression for the emf, &, induced in the loop as a function of time. (b) If the loop lies in the plane of the page and the magnetic field initially points out of the page, then what is the magnitude and direction of the induced current in the loop, i.e., is it clockwise, counterclockwise or is there no current induced in the loop? Include a diagram for this situation.
A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r and with resistance R. The magnitude of the field varies with time according to B = Boer, where Bo and rare constants. (a) Find an expression for the emf, &, induced in the loop as a function of time. (b) If the loop lies in the plane of the page and the magnetic field initially points out of the page, then what is the magnitude and direction of the induced current in the loop, i.e., is it clockwise, counterclockwise or is there no current induced in the loop? Include a diagram for this situation.
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10.1
Transcribed Image Text:A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r
and with resistance R. The magnitude of the field varies with time according to B = Boer,
where Bo and rare constants. (a) Find an expression for the emf, &, induced in the loop as a
function of time. (b) If the loop lies in the plane of the page and the magnetic field initially
points out of the page, then what is the magnitude and direction of the induced current in the
loop, i.e., is it clockwise, counterclockwise or is there no current induced in the loop? Include
a diagram for this situation.
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